Sturm-Liouville Theory and its Applications

• Main Author: Al-Gwaiz, M. A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2008.
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Differential equations.; Special functions.; Physics.; Applied mathematics.; Engineering mathematics.; Analysis.; Functional Analysis.; Special Functions.; Ordinary Differential Equations.; Appl.Mathematics/Computational Methods of Engineering.; Mathematical Methods in Physics.

Undergraduate textbooks on Fourier series which follow a pointwise approach to convergence miss the rich geometric content which comes with treating the subject within the inner product space L2. This book, developed from a course taught to senior undergraduates, provides a unified introduction to F...

Table of Contents:

• Inner Product Space
• The Sturm–Liouville Theory
• Fourier Series
• Orthogonal Polynomials
• Bessel Functions
• The Fourier Transformation
• The Laplace Transformation.